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107,144

107,144 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

107,144 (one hundred seven thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 59 × 227. Written other ways, in hexadecimal, 0x1A288.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
441,701
Recamán's sequence
a(82,343) = 107,144
Square (n²)
11,479,836,736
Cube (n³)
1,229,995,627,241,984
Divisor count
16
σ(n) — sum of divisors
205,200
φ(n) — Euler's totient
52,432
Sum of prime factors
292

Primality

Prime factorization: 2 3 × 59 × 227

Nearest primes: 107,137 (−7) · 107,171 (+27)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 59 · 118 · 227 · 236 · 454 · 472 · 908 · 1816 · 13393 · 26786 · 53572 (half) · 107144
Aliquot sum (sum of proper divisors): 98,056
Factor pairs (a × b = 107,144)
1 × 107144
2 × 53572
4 × 26786
8 × 13393
59 × 1816
118 × 908
227 × 472
236 × 454
First multiples
107,144 · 214,288 (double) · 321,432 · 428,576 · 535,720 · 642,864 · 750,008 · 857,152 · 964,296 · 1,071,440

Sums & aliquot sequence

As consecutive integers: 6,689 + 6,690 + … + 6,704 1,787 + 1,788 + … + 1,845 359 + 360 + … + 585
Aliquot sequence: 107,144 → 98,056 → 126,584 → 110,776 → 101,264 → 94,966 → 49,178 → 25,894 → 17,198 → 8,602 → 6,950 → 6,070 → 4,874 → 2,440 → 3,140 → 3,496 → 3,704 — unresolved within range

Continued fraction of √n

√107,144 = [327; (3, 23, 21, 13, 3, 5, 11, 1, 2, 1, 1, 25, 1, 1, 1, 1, 2, 2, 3, 1, 10, 1, 10, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand one hundred forty-four
Ordinal
107144th
Binary
11010001010001000
Octal
321210
Hexadecimal
0x1A288
Base64
AaKI
One's complement
4,294,860,151 (32-bit)
Scientific notation
1.07144 × 10⁵
As a duration
107,144 s = 1 day, 5 hours, 45 minutes, 44 seconds
In other bases
ternary (3) 12102222022
quaternary (4) 122022020
quinary (5) 11412034
senary (6) 2144012
septenary (7) 624242
nonary (9) 172868
undecimal (11) 73554
duodecimal (12) 52008
tridecimal (13) 399cb
tetradecimal (14) 2b092
pentadecimal (15) 21b2e

As an angle

107,144° = 297 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζρμδʹ
Mayan (base 20)
𝋭·𝋧·𝋱·𝋤
Chinese
十萬七千一百四十四
Chinese (financial)
壹拾萬柒仟壹佰肆拾肆
In other modern scripts
Eastern Arabic ١٠٧١٤٤ Devanagari १०७१४४ Bengali ১০৭১৪৪ Tamil ௧௦௭௧௪௪ Thai ๑๐๗๑๔๔ Tibetan ༡༠༧༡༤༤ Khmer ១០៧១៤៤ Lao ໑໐໗໑໔໔ Burmese ၁၀၇၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107144, here are decompositions:

  • 7 + 107137 = 107144
  • 43 + 107101 = 107144
  • 67 + 107077 = 107144
  • 73 + 107071 = 107144
  • 151 + 106993 = 107144
  • 181 + 106963 = 107144
  • 223 + 106921 = 107144
  • 241 + 106903 = 107144

Showing the first eight; more decompositions exist.

Hex color
#01A288
RGB(1, 162, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.136.

Address
0.1.162.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.136

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 107,144 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 107144 first appears in π at position 339,582 of the decimal expansion (the 339,582ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.